Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class.
Freshmen 83
Sophomores 68
Juniors 85
Seniors 64
We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.
A) What is the expected number of freshmen?
B) What is the expected number of seniors?
C) What is the calculated value for the test statistic?
D) What is the p-value?
E) At 95% confidence, should the null hypothesis be rejected?

Answer:

Step-by-step explanation:

Therefore, the volume of the water in the tank 25 minutes after Baxter begins filling the tank is 255 gallons.

Step-by-step explanation:

Linear Equation; Ax+By=C

A linear equation to model this situation:

8x + 55 = C

Where;

8 is for the rate of gallons.

'X' is the minutes.

55 is the gallons of water the tank already contained.

8(25) + 55 = 255

Where;

8 is for the rate of gallons.

25 is the minutes.

55 is the gallons of water the tank already contained.

Answer:

7 or 8 miles per hour

Step-by-step explanation:

The rate of current or velocity of current upriver is 4.5 miles per hour.

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.

Let's suppose the velocity or speed of the boat (Velocity in still water ) = V miles/hour

Velocity of current = x miles/hour

Given that,

The boat takes 2 hours to travel 15 miles upriver against the current.

15 miles  in 2 hour

⇒ 7.5 miles/hour

Since it is traveling against the current velocity so

V  - x = 7.5

And V = 12 miles/hour

By substitution,

12 - x = 7.5

x = 12 - 7.5

x = 4.5 miles/hour

Hence "The rate of current or velocity of current upriver is 4.5 miles per hour".

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Answer:

[tex] \tan(51°) = \frac{10}{x} \\x = \frac{10}{ \tan(51°) } \\ x = \frac{10}{1.235} \\ \boxed{ x = 8.1}[/tex]

[tex] \sin(51°)= \frac{10}{H} \\ h = \frac{10}{ \sin(51°) } \\ H= \frac{10}{0.777} \\ \boxed{H= 12.8676}[/tex]

Remember:

Answer:

27

Step-by-step explanation:

Answer:

.39 cents

Step-by-step explanation:

1.56 divided by 4 is .39

Answer:

36 cents

Step-by-step explanation:

if you multiply 36 by 4 you'll get 1.56

Answer:

3

Step-by-step explanation:

Answer:

z=3

Step-by-step explanation:

6(4-z)=2z

24-6z=2z

8z=24

8z/8=24/8

z=3    

Answer:

la distancia que hay entre ellos es de 50+30=80km

Step-by-step explanation:

Answer:

The options are not given, so i will answer in a general way.

First, we have the system:

y + 2*x = 3

y + 2 = 3*x

To graph this system, the easier way is writing both equations as linear equations, like:

y = -2*x + 3

y = 3*x - 2

Now we just need to graph these two lines in the same coordinate axis.

To do it, we can replace the value of x by two different values in each equation, and see the correspondent value of y for these values. Then graph the two points, and draw a line that connects them.

For example, for the first equation if we have x = 0, we have:

y = -2*0 + 3

y = 3

Then we have the point (0, 3)

and if x = 1

y = -2*1 + 3 = 1

y = 1

we have the point (1, 1)

Now we only need to graph these points, and draw a line that passes through them.

Once we did this for both lines, the graph we will get will look something like the one above.

And the point where the lines intersect is the solution of the system of equations.

Which is the point (1, 1)

Answer:

240 people are going on the trip

Step-by-step explanation:

216 students and 24 parents

Answer:

160  minutes

Step-by-step explanation:

20 every time

8 times

20 times 8 = 160

Answer:

if all the pots have an even amount then you should be left with 5 flowers left

Step-by-step explanation:

28+37= 65 there are 6 pots so take 5 away and each pot gets 10

now each pot has an even amount and you are left with 5

Answer:

the answer is b

Step-by-step explanation: edge 2020

Answer:

C. The two quantities are equal

Step-by-step explanation:

Edge 2020 2021

Answer:

Norma spent $30

Jane spent $22

Answer:

the answer is 181 2/4 OR 181 1/2 hours a month.

Step-by-step explanation:

Pretty simple hoped I helped sir or madame

Answer:

Step (2) is incorrect.

Step-by-step explanation:

The area of a rectangle is given by :

A = length × width

Area = 8+12x

Width = 4

Step 1: 8 + 12x  

Step 2: 4(2) + 4(3x)  

Step 3: 4(2 + 3x)  

Step 4: Dimensions of the rectangle are 4 and 2 + 3x.

It means he has done a mistake in step (2). The correct step should be 4(2) + 4(3x).

Well each pen costs $2 and each pencil costs $1.

One of the equations would be

2p + 1c ≤ 10

She doesn’t want to spend more than 10 dollars but wants to get 10 items. So she’ll be spending $10. For the pencils.

1c ≤ 10 c = 10

1(10) ≤ 10

10 ≤ 10

Now for the pens

2p ≤ 10

2. 2

P = 5

5 ≤ 10

Anymore will go over her budget. She wants to buy at least 10 items not 10 exactly so she can buy 5 pens or 10 pencils.

Answer:

[tex]\frac{13}{5}[/tex] pints of paints are left together

Step-by-step explanation:

Given

Number of pints of paint with Maria [tex]= 4[/tex]

Number of pints of paint with Emme [tex]= 4[/tex]

On the first day , Maria used [tex]\frac{3}{5}[/tex] of her [tex]4[/tex] pints of paints

Hence, Paint left after first day with Maria

[tex]= 4 - (\frac{3}{5} * 4)\\= \frac{20 - 12}{5} \\= \frac{8}{5}[/tex]

On the first day , Emme used [tex]\frac{3}{4}[/tex] of her [tex]4[/tex] pints of paints

Hence, Paint left after first day with Emme

[tex]= 4 - (\frac{3}{4} * 4)\\\\= 4-3\\= 1[/tex]

Total pint of paint left with both Maria and emme altogether

[tex]= 1 + \frac{8}{5}\\= \frac{5+8}{5} \\= \frac{13}{5}[/tex]

9514 1404 393

Answer:

  1)  c, f

  2) a, e

  3) b, d

Step-by-step explanation:

If you think about the units associated with a coordinate (feet, for example), then you may recognize the following

a) each difference is of "feet", so each difference will have units of "feet". The ratio of "feet" to "feet" cancels the units, leaving a pure number. In this case, it is called "steepness" in selection e. Steepness is given by the slope formula (2).

__

b) The difference in parentheses has units of "feet" (as in (a)), so the square will be "square feet". The sum of two of those will still be "square feet" and the square root of that will be "feet". The units of the formula are those of distance, or length, matching selection d. Distance is given by the distance formula (3).

__

c) The form shown is an ordered pair. That is the same as the representation of a coordinate point, selection f. Coordinates of a point are given by the midpoint formula (1).

Answer:

3000 books

Step-by-step explanation:

The correct function that describes the number of books sold as a function of the number of months her ads have been posted is expressed as;

f(x) = 1000(∛x) + 1000

x is the number of months the ads have been posted

Required:

Number of books sold after 8 months

To get this we will substitute x = 8 into the expression given

f(8) = 1000(∛8) + 1000

f(8) = 1000(2) + 1000

f(8) = 2000 + 1000

f(8) = 3000

Hence the total number of books that were sold after 8 months is 3000 books

Answer:

3000 were sold after 8 months

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

-2x+6=x-3

-1x+6=-3

-1x=-9

divide both sides by -1

x=9

hope this helps

Answer:

Step-by-step explanation:

Given system:

Substitute y and solve for x:

Find y:

Solution is:

Answer:

9

Step-by-step explanation:

because 9 in a third is 3

3 + 12 is 15

9x2 is 18

and 15 is 3 less than 18

Answer: 3:2

Step-by-step explanation:

This is correct because 3:2 is equal to 6:4. 3:2 is 6:4 divided by 2.

Hope this helps ;)

Answer:

3:2

Step-by-step explanation:

Fiction to non-fiction.

6:4

Now, simplify. Divide both by 2.

6/2=3

4/4=2

3:2 is the ratio.

Answer:

Richard 7x-27

Step-by-step explanation:

6x-3y +  x+y

Answer:

Step-by-step explanation:

Here you go mate

Step 1

2x+45=9  Equation/Question

Step 2

2x+45=9  Simplify

Step 3

2x+45=9  Subtract 45 from sides

2x=-36

Step 4

2x=-36  Divide sides by 2

-18

Answer

x=-18

Hope this helps

Answer:

Step-by-step explanation:

I can help

Step 1

2x +45 = 9  Simplify

Step 2

2x +45 = 9  you gotta subtract 45 from each sides

2x=-36

Step 3

2x=-36  Divide the sides by 2

Answer

x=-18

hope this helps

Answer:

add a gallon

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]step - 1 : define \\ \frac{e + f}{a - d} = \frac{b}{a} \\ step - 2 : cross \: multiplication \\ b(a - d) = a(e + f)[/tex]

The equivalent expression of (e+f)/(a-d) = b/a is a(e+f) = b(a-d). The correct option is A.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

An expression (e+f)/(a-d) = b/a.

To find the equivalent expression:

(e+f)/(a-d) = b/a

Using cross multiplication,

a × (e+f) = b × (a-d)

Simplifying,

a(e+f) = b(a-d).

In order to solve further, we can use the PEMDAS method.

ae + fa = ba - bd.

Therefore, a(e+f) = b(a-d) is an equivalent expression.

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